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Finding the Fourth Proportional to 49,356.17, 68,111.53 and 27,850.49

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Solution

The fourth proportional to 49,356.17, 68,111.53 and 27,850.49 is: 38,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356.17 : 68,111.53 = 27,850.49 : x
  2. Step 2: Convert to fraction form
    49,356.17/68,111.53 = 27,850.49/x
  3. Step 3: Cross multiply
    49,356.17x = 68,111.53 × 27,850.49
  4. Step 4: Simplify right side
    49,356.17x = 1,896,939,074.97
  5. Step 5: Solve for x
    x = 1,896,939,074.97/49,356.17
  6. Step 6: Final answer
    x = 38,433.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.